Find the LCM of 825, 476, 445, 935, 926 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 825, 476, 445, 935, 926. So, keep reading to learn more.
Given numbers are 825,476,445,935,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,476,445,935,926 is 16181988900.
Find LCM of 825,476,445,935,926 with Prime Factorization
2 | 825, 476, 445, 935, 926 |
5 | 825, 238, 445, 935, 463 |
11 | 165, 238, 89, 187, 463 |
17 | 15, 238, 89, 17, 463 |
15, 14, 89, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 15 x 14 x 89 x 1 x 463 = 16181988900
Therefore, the lowest common multiple of 825,476,445,935,926 is 16181988900.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
825 x 476 x 445 x 935 x 926 = 151301596215000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
445 : 1, 5, 89, 445
935 : 1, 5, 11, 17, 55, 85, 187, 935
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,476,445,935,926, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
476:2x 2x 7x 17
445:5x 89
935:5x 11x 17
926:2x 463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 17 = 9350
Therefore, the value for common factors is 9350.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 151301596215000/(1x9350)
LCM = 151301596215000/9350
LCM = 16181988900
Thus, we can understand that the LCM of 825,476,445,935,926 is 16181988900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 476, 445, 935, 926?
Answer: LCM of 825, 476, 445, 935, 926 is 16181988900.
2. How to calculate the LCM of 825, 476, 445, 935, 926?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 825, 476, 445, 935, 926.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.